Vector Addition and Subtraction Concepts

The video tutorial provides an introduction to adding and subtracting two-dimensional vectors. It begins by explaining the process of vector addition, where the x and y components of two vectors are added to form a new vector. The tutorial then covers vector subtraction, highlighting the subtraction of corresponding components. The video also includes a visual representation of these operations, demonstrating how vectors can be graphically depicted on axes. The tutorial aims to build intuition and understanding of vector operations through both numerical and visual methods.

What are the x and y components of vector A?

• 3 and -1

• 2 and 3

• 3 and 1

• 2 and -1

What are the x and y components of vector B?

• 2 and -1

• 3 and -1

• 3 and 2

• 2 and 3

How do you find the x component of the sum of two vectors?

• Multiply the x components

• Add the x components

• Divide the x components

• Subtract the x components

What is the resulting vector when you add vector A (3, -1) and vector B (2, 3)?

• (1, 2)

• (5, 2)

• (1, 4)

• (5, -4)

How do you find the x component of the difference between two vectors?

• Subtract the x components

• Multiply the x components

• Add the x components

• Divide the x components

What is the resulting vector when you subtract vector B (2, 3) from vector A (3, -1)?

• (1, 4)

• (5, -4)

• (5, 2)

• (1, -4)

When graphically adding vectors, where do you place the tail of vector B?

• At the tail of vector A

• At the midpoint of vector A

• At the head of vector A

• At the origin

What is the resulting vector when you graphically add vector A (3, -1) and vector B (2, 3)?

• (1, 4)

• (5, 2)

• (5, -4)

• (1, -4)

When graphically subtracting vectors, what is the direction of vector -B?

• Perpendicular to vector B

• Opposite to vector B

• Same as vector B

• Parallel to vector B

What is the resulting vector when you graphically subtract vector B (2, 3) from vector A (3, -1)?

• (1, -4)

• (5, 2)

• (5, -4)

• (1, 4)